YES

TRS:

  a__zeros() -> cons(0(),zeros())
  a__U11(tt(),L) -> s(a__length(mark(L)))
  a__and(tt(),X) -> mark(X)
  a__isNat(0()) -> tt()
  a__isNat(length(V1)) -> a__isNatList(V1)
  a__isNat(s(V1)) -> a__isNat(V1)
  a__isNatIList(V) -> a__isNatList(V)
  a__isNatIList(zeros()) -> tt()
  a__isNatIList(cons(V1,V2)) -> a__and(a__isNat(V1),isNatIList(V2))
  a__isNatList(nil()) -> tt()
  a__isNatList(cons(V1,V2)) -> a__and(a__isNat(V1),isNatList(V2))
  a__length(nil()) -> 0()
  a__length(cons(N,L)) -> a__U11(a__and(a__isNatList(L),isNat(N)),L)
  mark(zeros()) -> a__zeros()
  mark(U11(X1,X2)) -> a__U11(mark(X1),X2)
  mark(length(X)) -> a__length(mark(X))
  mark(and(X1,X2)) -> a__and(mark(X1),X2)
  mark(isNat(X)) -> a__isNat(X)
  mark(isNatList(X)) -> a__isNatList(X)
  mark(isNatIList(X)) -> a__isNatIList(X)
  mark(cons(X1,X2)) -> cons(mark(X1),X2)
  mark(0()) -> 0()
  mark(tt()) -> tt()
  mark(s(X)) -> s(mark(X))
  mark(nil()) -> nil()
  a__zeros() -> zeros()
  a__U11(X1,X2) -> U11(X1,X2)
  a__length(X) -> length(X)
  a__and(X1,X2) -> and(X1,X2)
  a__isNat(X) -> isNat(X)
  a__isNatList(X) -> isNatList(X)
  a__isNatIList(X) -> isNatIList(X)

max/plus interpretations on N:

  a__zeros_A = 203
  a__zeros#_A = 182
  cons_A(x1,x2) = max{9, 36 + x1, 187 + x2}
  cons#_A(x1,x2) = max{174, 177, 180}
  0_A = 167
  0#_A = 181
  zeros_A = 16
  zeros#_A = 181
  a__U11_A(x1,x2) = max{326, 141 + x1, 293 + x2}
  a__U11#_A(x1,x2) = max{239, 56 + x1, 241 + x2}
  tt_A = 203
  tt#_A = 180
  s_A(x1) = max{326, 17 + x1}
  s#_A(x1) = max{174, 174}
  a__length_A(x1) = max{326, 106 + x1}
  a__length#_A(x1) = max{238, 55 + x1}
  mark_A(x1) = max{203, 109 + x1}
  mark#_A(x1) = max{183, 167 + x1}
  a__and_A(x1,x2) = max{108, 51 + x1, 145 + x2}
  a__and#_A(x1,x2) = max{170, 184, 168 + x2}
  a__isNat_A(x1) = max{203, -35 + x1}
  a__isNat#_A(x1) = max{179, 174}
  length_A(x1) = max{217, 106 + x1}
  length#_A(x1) = max{183, 54 + x1}
  a__isNatList_A(x1) = max{130, 71 + x1}
  a__isNatList#_A(x1) = max{171, 1 + x1}
  a__isNatIList_A(x1) = max{203, 71 + x1}
  a__isNatIList#_A(x1) = max{185, 1 + x1}
  isNatIList_A(x1) = max{19, -38 + x1}
  isNatIList#_A(x1) = max{181, 38}
  nil_A = 204
  nil#_A = 184
  isNatList_A(x1) = max{5, 20 + x1}
  isNatList#_A(x1) = max{0, 0}
  isNat_A(x1) = max{8, -144 + x1}
  isNat#_A(x1) = max{178, 63}
  U11_A(x1,x2) = max{73, 141 + x1, 235 + x2}
  U11#_A(x1,x2) = max{241, 166, 241 + x2}
  and_A(x1,x2) = max{145, 51 + x1, 50 + x2}
  and#_A(x1,x2) = max{184, 168, 169}

precedence:

  a__zeros > cons = zeros > a__isNat > a__isNatIList > a__isNatList = isNatIList > a__U11 = length = isNatList > a__length = U11 > a__and = isNat > mark > s = nil = and > 0 > tt